A Fibrational Perspective on Differential Linear Logic
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866915993693978624 |
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| author | Koleilat, Jad |
| author_facet | Koleilat, Jad |
| contents | Differential Linear Logic (DiLL) is a sequent calculus that expresses differentiation via symmetries between linear and non-linear formulas. In this paper, we express categorical models of DiLL as a pair of Grothendieck fibrations equipped with a tangent functor. To do so, we adapt methods from categorical semantics of type theory to linear-non-linear adjunctions. This is a first step towards unifying DILL and dependent types. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_07858 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Fibrational Perspective on Differential Linear Logic Koleilat, Jad Logic in Computer Science F.3.2; F.4.1 Differential Linear Logic (DiLL) is a sequent calculus that expresses differentiation via symmetries between linear and non-linear formulas. In this paper, we express categorical models of DiLL as a pair of Grothendieck fibrations equipped with a tangent functor. To do so, we adapt methods from categorical semantics of type theory to linear-non-linear adjunctions. This is a first step towards unifying DILL and dependent types. |
| title | A Fibrational Perspective on Differential Linear Logic |
| topic | Logic in Computer Science F.3.2; F.4.1 |
| url | https://arxiv.org/abs/2605.07858 |